Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Viscous fluid occupies the region 0 < z<h between two rigid boundaries z = 0 and z = h.
The lower boundary is at rest, the upper boundary rotates with constant angular velocity
N about the z-axis. Show that a steady solution of the full Navier-Stokes equations with
flow only in the 0-direction of the form
u = u9(r, z)eo
is not possible (i.e., show any rotary motion ue(r,z) in this system must be accompanied
by a secondary flow where u; or uz # 0).
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Transcribed Image Text:Viscous fluid occupies the region 0 < z<h between two rigid boundaries z = 0 and z = h. The lower boundary is at rest, the upper boundary rotates with constant angular velocity N about the z-axis. Show that a steady solution of the full Navier-Stokes equations with flow only in the 0-direction of the form u = u9(r, z)eo is not possible (i.e., show any rotary motion ue(r,z) in this system must be accompanied by a secondary flow where u; or uz # 0).
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